
{"id":113,"date":"2017-11-28T19:38:27","date_gmt":"2017-11-28T10:38:27","guid":{"rendered":"http:\/\/192.168.99.111\/sk23\/?p=113"},"modified":"2018-12-05T15:46:48","modified_gmt":"2018-12-05T06:46:48","slug":"matrix-asymptotic-results-and-their-lie-extensions","status":"publish","type":"post","link":"https:\/\/mathematicians.korea.ac.kr\/sk23\/2017\/11\/28\/matrix-asymptotic-results-and-their-lie-extensions\/","title":{"rendered":"[\ud2b9\uac15] \ud589\ub82c\ubd84\ud574\uc640 \uc77c\ubc18\ud654"},"content":{"rendered":"<p>&#8211; \uc77c\uc2dc: 2017\ub144 12\uc6d4 13\uc77c 5\uc2dc-6\uc2dc<br \/>\n&#8211; \uc7a5\uc18c: \uc544\uc0b0\uc774\ud559\uad00 526\ud638<br \/>\n&#8211; \uc5f0\uc0ac: Professor Tin-Yau Tam (Auburn University)<br \/>\n&#8211; \uc81c\ubaa9: Matrix asymptotic results and their Lie extensions<\/p>\n<p>We will discuss some recent asymptotic results in matrix space and their extensions in Lie group, namely,<br \/>\n(1) Beurling-Gelfand-Yamamoto&#8217;s theorem and the generalization of Huang and Tam.<br \/>\n(2) QR and Iwasawa asymptotic results of Huang and Tam.<br \/>\n(3) Francis-Kublanovskaya&#8217;s QR algorithm and the generalization of Holmes, Huang and Tam.<br \/>\n(4) Rutishauer&#8217;s LR algorithm and the generalization of Thompson and Tam.<br \/>\nThese results are related to several important matrix decompositions, namely, SVD, QR decomposition, Gelfand-Naimark decomposition, Jordan decomposition and their counterparts , Cartan decomposition, Iwasawa decomposition, Bruhat decomposition, complete multiplicative Jordan decomposition.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8211; \uc77c\uc2dc: 2017\ub144 12\uc6d4 13\uc77c 5\uc2dc-6\uc2dc &#8211; \uc7a5\uc18c: \uc544\uc0b0\uc774\ud559\uad00 526\ud638 &#8211; \uc5f0\uc0ac: Professor Tin-Yau Tam (Auburn University) &#8211; \uc81c\ubaa9: Matrix asymptotic results and their Lie extensions We will discuss some recent asymptotic results in matrix space and their extensions in Lie group, namely, (1) Beurling-Gelfand-Yamamoto&#8217;s theorem and the generalization of Huang and Tam. (2) QR &#8230; <a title=\"[\ud2b9\uac15] \ud589\ub82c\ubd84\ud574\uc640 \uc77c\ubc18\ud654\" class=\"read-more\" href=\"https:\/\/mathematicians.korea.ac.kr\/sk23\/2017\/11\/28\/matrix-asymptotic-results-and-their-lie-extensions\/\" aria-label=\"[\ud2b9\uac15] \ud589\ub82c\ubd84\ud574\uc640 \uc77c\ubc18\ud654\uc5d0 \ub300\ud574 \ub354 \uc790\uc138\ud788 \uc54c\uc544\ubcf4\uc138\uc694\">\ub354 \uc77d\uae30<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-113","post","type-post","status-publish","format-standard","hentry","category-news-events"],"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"","distributor_original_site_url":"https:\/\/mathematicians.korea.ac.kr\/sk23","push-errors":false,"_links":{"self":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/113","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/comments?post=113"}],"version-history":[{"count":6,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/113\/revisions"}],"predecessor-version":[{"id":149,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/posts\/113\/revisions\/149"}],"wp:attachment":[{"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/media?parent=113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/categories?post=113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematicians.korea.ac.kr\/sk23\/wp-json\/wp\/v2\/tags?post=113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}